34111042464 has 48 divisors (see below), whose sum is σ = 89573807232. Its totient is φ = 11366243328.

The previous prime is 34111042439. The next prime is 34111042481. The reversal of 34111042464 is 46424011143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34111042464² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209257 + ... + 334679.

It is an arithmetic number, because the mean of its divisors is an integer number (1866120984).

Almost surely, 2^34111042464 is an apocalyptic number.

It is an amenable number.

34111042464 is an abundant number, since it is smaller than the sum of its proper divisors (55462764768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34111042464 is a wasteful number, since it uses less digits than its factorization.

34111042464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128269 (or 128261 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 34111042464 in words is "thirty-four billion, one hundred eleven million, forty-two thousand, four hundred sixty-four".